Electromagnetics Course Catalogue
Updated for 2011-12
ECE 524H
Microwave Circuits
Professor G.V. Eleftheriades
This course outlines the principles of designing modern microwave and RF circuits. Signal-integrity issues in high-speed digital circuits are also examined. The wave equation, ideal transmission lines. Transients on transmission-lines. Planar transmission lines and introduction to MMIC's. Designing with scattering parameters. Planar power dividers, directional couplers. Microwave filters. Solid-state microwave amplifiers, noise, diode-mixers, RF receiver chains, oscillators.
ECE1228H Electromagnetic Theory
Professor M. Mojahedi
Fundamentals: Maxwell's equations, constitutive relations and boundary conditions, wave polarization. Field representations: potentials, Green's functions and integral equations. Theorems and concepts: duality, uniqueness, images, equivalence, reciprocity and Babinet's principles. Plane, cylindrical and spherical waves and waveguides. radiation and scattering. Prerequisites: ECE 320 or ECE 357.
ECE1229H Advanced Antenna Theory
Professor S.V. Hum
This course deals with the analysis and design of a range of antennas. Topics addressed include: definitions of antenna parameters; vector potentials; solutions to the inhomogeneous wave equation; principles of duality and reciprocity; wire antennas; antenna arrays; phased arrays; synthesis techniques for discrete and continuous line sources; integral equations and solutions using the method of moments; field equivalence principle; aperture antennas; antenna measurement techniques; diffraction; horn antennas; reflector antennas; microstrip antennas; reflectarrays; electrically small antennas; and broadband antennas. Prerequisite: ECE320 or ECE357 plus one electromagnetics-related course at the 400 level or higher.
ECE 1236H Microwave and Millimeter-Wave Techniques
Professor G.V. Eleftheriades
This course intends to provide a broad but firm exposure to the fundamental and practical aspects of modern microwave/mm-wave design of circuits, guiding structures and antennas. The emphasis will be placed on planar structures in the context of current wireless commercial, space and scientific applications. Planar antennas will also be treated since they have become increasingly important in many emerging wireless applications. Projects will be assigned tailored to the interests of each participant with emphasis placed on using modern CAD tools. Course Outline: Waveguide Concepts (potential theory, modal expansions, losses, slab waveguide and surface-wave modes), Transverse Resonance Technique, Transmission Line and Resonator Concepts, Planar Lines (stripline, microstrip, coplanar waveguide, asymmetric coupled lines, high-frequency limitations), Antennas and Antenna Array Concepts (radiation from dipoles and slots, directivity and gain, reciprocity and receiving antennas, Friis transmission equation, antenna arrays, Schelkunoff polynomial method, microstrip antennas), Active Circuits and Antennas (mixers, oscillators, active planar antennas and quasi-optical power combining). Prerequisites: ECE 320 or ECE 357 and permission of the instructor.
ECE 1243H Topics in EM Waves: Advanced Electromagnetic Theory
Professor G.V. Eleftheriades
Maxwell’s equations: integral & differential form; Constitutive relations; Time dependent wave equation; Boundary conditions; Time harmonic fields; Power flow: Poynting theorem; Inhomogeneous wave equation; Field representations; Linear system concepts; Scalar Green’s functions; Dyadic Green’s functions; Integral equations; Plane-wave expansion; Radiation from an aperture; Reflection and transmission at an interface; Mode concepts; Grounded dielectric slab; Rectangular metallic guide; Rectangular cavity; Cylindrical wave representations; Circular metallic guide; Coaxial cable; Fiber optical cable; Spherical waves; Uniqueness theorem; Image theory; Equivalence principle; Babinet’s principle; Reciprocity.
ECE 1243H Topics in EM Waves: Waves in Periodic Media
Professor S. Dmitrevsky
Spring Term
The object of the course is to investigate the mathematical background and application of the theory of wave propagation in media with periodic properties. The initial portion of the course will deal with the application of Floquet's theory to one dimensional infinite and finite extension systems. The methods developed will be applied to the case of two and three dimensional media with discussion of the effects of secondary scattering and the problems of interfaces of periodic and non-periodic media. The final portion of the course will be devoted to an introduction to the theory of the Mathieu equation.
ECE 1247H Nonlinear Optics
Professor S. Dmitrevsky
Review: Electromagnetic wave propagation in linear crystalline media; one-dimensional coupled waves in linear and nonlinear systems. Main topics: Nonlinear susceptibilities and their symmetry relations; Maxwell's equations in nonlinear media; phase matching and harmonic generation; reflection-refraction phenomena; three-wave mixing and parametric amplification; four-wave mixing; some applications of the effects described. References: W.H. Louisell, Coupled Mode and Parametric Electronics; N. Bloembergen, Nonlinear Optics; A. Yariv, Quantum Electronics; Y.R. Shen, The Principles of Nonlinear Optics. Prerequisites: ECE 320 or ECE 357; plus one electromagnetics/optics course such as ECE 424, ECE 426, or ECE 1228.
ECE 1251H Matter Wave Interaction
Professor M. Mojahedi
This course is intended to benefit graduate students in both Electromagnetic and Photonics groups. It briefly revisits and expands some of the more fundamental electromagnetic laws/theories, and rapidly progresses to the important subject of wave interaction with materials and structures. This course provides the students with the necessary foundation and the specific knowledge in the dynamics of wave propagation and interaction with materials and structures, such that they can specialize their studies to particular systems or devices. Some of the subjects covered are:
Fundamental EM theory: Wave equation, boundary conditions, polarization, Fresnel coefficients, EM power and energy densities, reciprocity theorem, uniqueness theorem, time reversal, Lorentz and Coulomb gauge etc.
Dispersion: Temporal dispersion, Lorentz-Lorenz model, spatial (structural) dispersion, effective index, introduction to anisotropic media.
Wave Dynamics: phase, group, energy and front velocities, superluminal and negative velocities (abnormal velocities).
Transient Response: Sommerfeld forerunner, Brillouin forerunner, stationary phase approximation, steepest descent method.
Electromagnetic Wave Propagation in Periodic Structures: One, two, and three-dimensional photonic crystals, reciprocal space, band structures.
Exotic Media: Metamaterials, artificial dielectrics, ferrites, etc.
ECE 1252H Introduction to Computational Electrodynamics
Professor C.D. Sarris
This course is an introduction to computational methods for the solution of operator problems in microwave, millimeter-wave and optical engineering. It presents a unified, field-theoretical approach to the derivation of numerical techniques, based on the application of the Method of Moments for the discretization of Maxwell's equations. Emphasis is given in the Finite Difference Time Domain method, by providing a thorough study of such concepts as order of accuracy, stability, dispersion, convergence and error propagation. Theoretical derivation and practical implementation of source, material and absorbing boundary conditions is pursued. Higher order, multi-step, ADI and operator splitting methods are explained. Applications to wave propagation (including propagation in complex media and shock waves), antenna and circuit modeling are presented.
ECE1253H Active Microwave Circuits
Professor S.V. Hum
This course deals with the design of microwave circuit employing active devices. Topics addressed include a brief review of representation of two-port networks, scattering parameters, signal flow graphs, Smith charts, and matching networks; characteristics of microwave transistors (bipolar transistors, MOSFETS, MESFETS); microwave transistor linear amplifier design (gain equations, stability considerations, gain circles, unilateral and bilateral design cases, conjugate matching, bias considerations); low noise amplifiers (noise figure, noise circles), power amplifiers (amplifier classes, intermodulation and harmonic distortion, high efficiency topologies), broadband amplifiers; microwave mixers (mixer design and configurations: single-ended, balanced, double-balanced); and oscillators (feedback oscillators, reflection / negative resistance oscillators, dielectric resonator oscillators, tuning techniques). Lecture material will be strongly enforced using a laboratory which will teach students the use of industry standard RF/microwave CAD and simulation tools.
ECE1254H Modeling of Multiphysics Systems
Professor P. Triverio
This course deals with the modeling and simulation of physical systems. Special attention is devoted to complexity issues and model order reduction methods, presented as a systematic way to simulate highly-complex systems with acceptable computational cost. Examples from multiple disciplines will be considered, including electrical/electromagnetic engineering, structural mechanics, fluid-dynamics. Students are encouraged to work on examples related to their own discipline/research.
Topics: Automatic generation of system equations. Simulation of linear and nonlinear dynamical systems. Linear systems: fundamental properties (causality, stability, dissipativity), model order reduction (proper orthogonal decomposition, moment matching, Krylov methods, truncated balanced realization, stability/dissipativity enforcement), modeling from experimental data (system identification, the Vector Fitting algorithm, stability/dissipativity enforcement).
Nonlinear systems: properties, modeling techniques, model order reduction.
Electromagnetics-Related Courses Available from Other Groups and Departments
Course No. - Title
AER 1717H - Applied Plasma Physics I
AER 1720H - Applied Plasma Physics II
ECE 527H - Photonics I
ECE 530H - Analog Circuits
ECE 1336H - Semiconductor Physics
ECE 1364H - Selected Topics in Solid State Circuit Design: RF and MMIC Design
ECE 1432H - Theory of Coherence
ECE 1433H - Optical Communication I
ECE 1435H - Applied Optics I
ECE 1445H - Optical Communication II
ECE 1448H - Quantum Mechanics for Engineers
ECE 1450H - Photonics II
ECE 1460H - Special Topics in Photonics
JEL 1704H - Introduction to Lasers
ECE 1040H - Linear Steady State Field Analysis
ECE 1041H - Numerical Solution of Field Problems
ECE 1080H - Application of Approximate Methods to Field Problems
ECE 1081H - Application of the Finite Element Method to Field Problems
ECE 1082H - Mathematics for Advanced Electromagnetics
ECE 1083H - Harmonic Balance and the Finite Element Method
ECE 1089H - Special Topics in Electromagnetics
ECE 1515H - Smart Antennas
ECE 1543H - Mobile Communications Systems
PHY 2102H - Theory of Nonlinear Waves
PHY 2105H - Electromagnetic Theory I
PHY 2106H - Electromagnetic Theory II
MAT 1001H - Complex Analysis
MAT 1005H - Fourier Analysis
MAT 1507H - Asymptotic and Perturbation Methods (also designated as APM 441F)
MAT 1508H - Applied Nonlinear Equations
MEC 1401H - Engineering Analysis III (variational calculus; integral equations)
MEC 1402H - Engineering Analysis IV (solution of nonlinear differential equations)
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